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132213154400 = 2552165266443
BaseRepresentation
bin111101100100010000…
…1001010001001100000
3110122021011101010201022
41323020201022021200
54131233031420100
6140423214425012
712360236161355
oct1731041121140
9418234333638
10132213154400
1151086973858
1221759b02168
13c610560752
1465833ac62c
15368c2cce85
hex1ec884a260

132213154400 has 36 divisors (see below), whose sum is σ = 322765365132. Its totient is φ = 52885261440.

The previous prime is 132213154379. The next prime is 132213154453. The reversal of 132213154400 is 4451312231.

It is a happy number.

It is a super-3 number, since 3×1322131544003 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132213154400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82632422 + ... + 82634021.

It is an arithmetic number, because the mean of its divisors is an integer number (8965704587).

Almost surely, 2132213154400 is an apocalyptic number.

132213154400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213154400 is an abundant number, since it is smaller than the sum of its proper divisors (190552210732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132213154400 is a wasteful number, since it uses less digits than its factorization.

132213154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165266463 (or 165266450 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 132213154400 its reverse (4451312231), we get a palindrome (136664466631).

The spelling of 132213154400 in words is "one hundred thirty-two billion, two hundred thirteen million, one hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 165266443 330532886 661065772 826332215 1322131544 1652664430 2644263088 3305328860 4131661075 5288526176 6610657720 8263322150 13221315440 16526644300 26442630880 33053288600 66106577200 132213154400